Optimization and Stabilization of Distributed Secondary Voltage Control with Time Delays and Packet Losses Using LMIs

Allal El Moubarek Bouzid (), Bogdan Marinescu, Florent Xavier and Guillaume Denis
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Allal El Moubarek Bouzid: Ecole Centrale Nantes-LS2N-CNRS, 44300 Nantes, France
Bogdan Marinescu: Ecole Centrale Nantes-LS2N-CNRS, 44300 Nantes, France
Florent Xavier: RTE-R&D, 7C Place du Dôme, 92073 Paris La Defense, France
Guillaume Denis: RTE-R&D, 7C Place du Dôme, 92073 Paris La Defense, France

Energies, 2023, vol. 17, issue 1, 1-18

Abstract: The proposed hierarchical secondary voltage control is a spatially distributed control system using communication networks which are disturbed by both a time delays and packet data dropouts. A state feedback integral control is adopted to eliminate the effect of non-zero disturbance and provide exact tracking of the references of the pilot points and alignment of the reactive powers of the generators that participate in the control. The system is modeled as a discrete-time switched system, and the control gains are synthesized by solving LMIs for a stability condition based on a state-dependent Lyapunov function. For that, the cone complementarity linearization (CCL) algorithm is used. The effectiveness of the proposed control strategy in preventing time delays and packet losses is simulated, considering the model of a realistic electric power grid under typical operational conditions using MATLAB.

Keywords: networked control systems (NCSs); power system; secondary control; voltage control; advanced control; distributed control; time delays; LMIs (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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